The lengths of corresponding sides of two similar triangles are in the ratio 5 : 6. The areas of these triangles are in the ratio:

Correct option is A

Given:

Length of corresponding sides of two similar triangles are in ratio =5 : 6

Formula Used:

If two triangles are similar then:

The ratio of corresponding sides are equal

And the ratio of area of two triangles will be equal to squares of ratio of sides

​$$\frac{Area\ of\ triangle\ first}{Area\ of\ triangle\ second} = \left(\frac{Side\ of\ first\ triangle}{Side\ of\ second\ triangle}\right)^2$$​

Solution:

Here ratio of sides is given as 5 : 6

Then ratio of areas of triangle will be:

​$$= \left(\frac{5}{6}\right)^2 = \frac{25}{36}$$​